Course: Math 215, Introduction to Advanced Mathematics Call no: 16452
Time: MWF 1100-1150pm Place: 211 Taft Hall
Professor: Dhruv Mubayi Office: 620 SEO Tel:
3-8036 E-mail: mubayi@math.uic.edu Course Web Page:
http://www.math.uic.edu/~mubayi/215/spring12/215Spring12.html
Office Hours: Monday and Friday 2-3 and by appointment
Grading Policies:
Attendance and class participation: 15%
Homework, due every week: 20%
Two in-class midterms, 15% each: 30%
Final Exam: 35%
Be sure to staple your homework. No late homework will be
accepted.
Disability Policy: Students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS).
Please contact ODS a 312/413/-2183 (voice) or 312/413-0123 (TTY).
Prerequisite: Grade of C or better in MATH 181 and approval of the department.
Description: Introduction to methods of proofs used in different fields in mathematics.
Text: Peter J. Eccles, An introduction to Mathematical Reasoning,
Cambridge University Press.
Homework
Homework 1, Due Friday Jan 20:
Chapter 1: 1.2 (iii), (iv); 1.4; 1.5
Chapter 2: 2.1 (i), (ii), (x),(xi); 2.4; 2.6
Chapter 3: 3.1 (ii); 3.2; 3.4; 3.7; 3.8 (iv)
Homework 2, Due Friday Jan 27 (EXTENSION GRANTED TILL MONDAY JAN 30):
Chapter 4: 4.1; 4.2; 4.3; 4.6
Problems I
(page 53-56): 2, 8, 9, 10, 12, 14, 19
Homework 3, Due Monday Feb 6:
Problems I: (page 53-56): 15, 16, 17, 21
Problems II: (page 115-119) 1 (i), 2, 3, 6, 8, 9
TEST 1: MONDAY FEBRUARY 13
Test 1 Solutions
Homework 4, Due Friday February 17
Problems II (page 115-119): 11 (i), (ii), (v), (vi), (ix),
(x), 12, 13 (ii), 15
Homework 5, Due Friday February 24
Problems II (page 115-119): 16 (i), (iii), (iv), (v), (vi), 18, 21 (i)
Problems III (page 183-187): 8, 9, 12 (please write careful proofs)
Homework 6, Due Friday March 2
Problems III (page 183-187) 1, 6, 11, 13, 14, 15
Homework 7, Due Friday March 9
Problems III (page 183-187) 16, 18, 20, 21, 22 show well definedness and (i)
This homework is hard so be sure to start early and come by with questions if needed.
Some HW 7 Solutions
Homework 8, Due Friday, March 16
Problems III (page 183-187) 23, 24, 25, 26, 27, 28
Homework 9, Due Friday, March 30
Problems IV (page 225-228) 6, 10, 13
TEST 2: MONDAY APRIL 2
Homework 10, Due Friday April 13
Problems IV (page 225-228) 15, 19
Problems V (page 271-273) 7,8
Homework 11, Due Friday April 20
Problems V (page 271-273) 10 (i) (iv), 11
15 (i), 17 (i), (iv)
Homework 12, Due Friday April 27
Problems VI (page 295-297) 2, 8, 13, 16 (i)